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What is the Least Common Multiple of 93220 and 93236?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 93220 and 93236 is 2172864980.

LCM(93220,93236) = 2172864980

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Least Common Multiple of 93220 and 93236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93220 and 93236, than apply into the LCM equation.

GCF(93220,93236) = 4
LCM(93220,93236) = ( 93220 × 93236) / 4
LCM(93220,93236) = 8691459920 / 4
LCM(93220,93236) = 2172864980

Least Common Multiple (LCM) of 93220 and 93236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93220 and 93236. First we will calculate the prime factors of 93220 and 93236.

Prime Factorization of 93220

Prime factors of 93220 are 2, 5, 59, 79. Prime factorization of 93220 in exponential form is:

93220 = 22 × 51 × 591 × 791

Prime Factorization of 93236

Prime factors of 93236 are 2, 11, 13, 163. Prime factorization of 93236 in exponential form is:

93236 = 22 × 111 × 131 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 93220 and 93236.

LCM(93220,93236) = 22 × 51 × 591 × 791 × 111 × 131 × 1631
LCM(93220,93236) = 2172864980